# Cesare Tinelli's Publications

Peter Baumgartner, Bjoern Pelzer, and Cesare Tinelli.
Model Evolution with Equality -- Revised and Implemented.
Journal of Symbolic Computation.
Special Issue on First Order Theorem Proving.
(To appear.)

Abstract.In many theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in the Model Evolution calculus (ME), a first-order version of the propositional DPLL procedure. The new calculus, MEE, is a proper extension of the ME calculus without equality. Like ME it maintains an explicitcandidate model, which is searched for by DPLL-style splitting. For equational reasoning MEE uses an adapted version of the ordered paramodulation inference rule, where equations used for paramodulation are drawn (only) from the candidate model. The calculus also features a generic, semantically justified simplification rule which covers many simplification techniques known from superposition-style theorem proving. Our main result is the correctness of the MEE calculus in the presence of very general redundancy elimination criteria.